A wave travels along the position x -direction with a speed of 20 m s − 1 . The amplitude of the wave is 0 20 cm and the wavelength 2 0 cm. (A) Write a suitable wave equation which describes this wave. (B) What is the displacement and velocity of the particle at x = 2 0 cm at time t = 0 according to the wave equation written? Can you get different values of this quantity if the wave equation is written in a different fashion?

Question

Philoid · Accepted Answer

A. y = (020 cm) sin[(π cm⁻¹) x − (2π × 10³ s⁻¹)t]

Here λ = 2 cm

V = 20ms^-1

A = 2cm

So,

Now

The equation will be

B. zero, 4π m s⁻¹

The displacement will be,

The particle velocity will be,